Therefore, this seesaw mechanism type II identifies the light LHNs with tiny mass elements bounded by the VEV \(v_{2}\) , and by
the coupling constants \(f_{ij}^{\prime (e)}\) . The RHN is the heavier particle of the model whose the elements \(M_{Rij}\)  are such that
\(|M_{Rij}| \simeq 10\)  TeV. The \(3 \times 3\)  matrices \(m_{\nu _{L}}\)  and \(m_{N_{R}}\)  can be diagonalized separately by other biunitary
transformation such that the diagonal matrices are the real and positive neutrinos masses. Using the measurement of transition probability,
we can bound \(v_{2}\)  and \(f_{ij}^{\prime (e)}\)  for the electron and muon neutrinos family. In this case, the normal hierarchy for neutrino masses of \(\nu _{e}(1)\)  and \(\nu _{\mu }(2)\) 
is : \(\Delta m_{12}^{\, 2}=|m_{2}^{2}-m_{1}^{2}|=(7.50 \pm 0.20) \times 10^{-5} \, \mbox{eV}^{2}\)  [1]}.
Thus, the difference in the coupling constant \(f^{\prime (e)}\)  to the square times \(v_{2}\)  is constraint by \(v_{2} \, \sqrt{|f_{2}^{\prime (e) \ast \, 2}-f_{1}^{\prime (e) \ast \, 2}|} \simeq 1.22 \times 10^{-2}\)  eV.
